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Finding the Fourth Proportional to 563.06, 776.81 and 341.93

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Solution

The fourth proportional to 563.06, 776.81 and 341.93 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 776.81 = 341.93 : x
  2. Step 2: Convert to fraction form
    563.06/776.81 = 341.93/x
  3. Step 3: Cross multiply
    563.06x = 776.81 × 341.93
  4. Step 4: Simplify right side
    563.06x = 265,609.05
  5. Step 5: Solve for x
    x = 265,609.05/563.06
  6. Step 6: Final answer
    x = 471.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.